Answer:
A triangular prism has base edges 4 cm, 5 cm, and 6 cm long. Its lateral area is
300 cm2.
What is the height of the prism?
A school has an aquarium in each room. Each aquarium has 2 catfish for every 3 angelfish. How many fish are in an aquarium that has 6 catfish?
Answer:
15
Step-by-step explanation:
2:3 ratio
if there is 2 catfish in a tank, in order to reach 6 catfish, we need 3 tanks
therefore, 3*3=9, 9 is the amount of angel fish
6+9=15
−9x (5x+4 ) +10 (x+3) can someone please solve his for me thank u step by step please i really need to find out how to do it
Answer:
-45[tex]x^{2}[/tex]-26x+30
Step-by-step explanation:
So first you let's divide this equation into three parts.
Part one -9x(5x+4)
Step one: you have to distribute the -9x to the numbers in the parentheses. That would leave us with a -9x*5x = -45[tex]x^{2}[/tex] and -9x*4 = -36xStep two: Put the answers together. That would leave us with -45[tex]x^{2}[/tex]-36x.Part two 10(x+3)
Step one: you have to distribute the 10 to the numbers in the parentheses. That would leave us with a 10*x = 10x and 10*3 = 30Step two: Put the answers together. That would leave us with 10x+30Part three solve
Step one: combine and put together what you have solved for. That would leave us with a -45[tex]x^{2}[/tex]-36x+ 10x+30 Step two: combine like terms. The like terms here are -36x and 10x. When you combine them you would get -26x.Step three: Write the equation in standard form. Therefore the answer is -45[tex]x^{2}[/tex]-26x+30.Let me know if anything is confusing!
If the mean of A and B is 20 , the mean of B and C and the mean of A,B and C us 18 . What is the mwan of A and C
Answer:
the mean of A and C is 10
Step-by-step explanation:
Given that
The mean of A and B is 20
The mean of B and C is 24
And, the mean of A, B and C is 18
We need to find out the mean of A and C
Since the mean of A and B is 20
So, a + b = 20 × 2
= 40
Likewise for B and C it is 48
And, for A, B and C, it is 54
So,
a + b = 40
b + c = 48
a + b + c = 54
So if we put the value of b + c in the above equation
a + 48 = 54
a = 6
b = 34
c = 14
Now the mean of the A and C is
= (6 + 14) ÷ 2
= 10
Hence, the mean of A and C is 10
He figures that the treasure is 3 units either to the east or south of the location of the last clue Which of these could be the location of the treasure?
А.
point (1.4) or point (-2.1)
В.
point (-5,4) or point (-2,1)
C.
point (1.4) or point (-2,7)
Answer:
a
Step-by-step explanation:
I did it on a graph
also sorry about the comment earlier my page wasn't syncing
The length of the base edge of a pyramid with a regular hexagon base is represented as x. The height of the pyramid is 3 times longer than the base edge. The height of the pyramid can be represented as The of an equilateral triangle with length x is (x ^ 2 * sqrt(3))/4 * u * n * i * t * s ^ 2 times the The area of the hexagon base is area of the equilateral triangle . The volume of the pyramid is x ^ 3 * sqrt(3) * u * n * i * t * s ^ 3
1.) 3x
2.) area
3.) six
4.) 3/2
:)
Answer:
The height of the pyramid can be represented as
3x
The
area
of an equilateral triangle with length
The area of the hexagon base is
six
The volume of the pyramid is
3/2
Step-by-step explanation:
Theo, Nancy, and Mary each drove separately to meet at their grandmother's house for dinner. Theo drove 50 miles, Nancy drove √2,840 miles, and Mary's route is shown below. A right triangle with side lengths 48 miles and 13 miles. The hypotenuse is labeled Mary's Route. Approximately how many miles did Mary drive to her grandmother's house? Order the distances that each family member drove to their grandmother's house from least to greatest.
Answer:
The distance between Mary's house and her grandmother's house is approximately 49.73 miles.
The 3 traveled the following distances:
Theo rode 50 miles, Mary drove 49.73 miles, and Nancy drove 53.299 miles.
Step-by-step explanation:
Mary's route is indeed the hypotenuse of a given triangle, that has a 13-mile adjacent hand and a 48-mile wrong side. They can solve for the length of the other side of the triangle using Pythagoras' theorem because we have two sides of the triangle.
Let us just say that triangle's ellipse is x square miles. Pythagoras's theory stated that
[tex]x = \sqrt{(13^2 + 48^2)} \\\\[/tex]
[tex]= \sqrt{169 + 2,304} \\\\ = \sqrt{2,473}\\\\ = 49.729\\[/tex]
Mary's route was 49.73 square miles, to sum it up.
Nancy drove [tex]\sqrt{2,840} \ miles = 53.2916 \ miles[/tex]
As a result, Mary rode the shortest distance of 49.73 miles, Theo drove 50 miles, and Nancy drove 53.299 miles.
Answer:
49.73
Mary, Theo, Nancy
Step-by-step explanation:
Approximately how many miles did Mary drive to her grandmother’s house?
✔ 49.73
Order the distances that each family member drove to their grandmother’s house from least to greatest.
✔ Mary, Theo, Nancy
15 points plisss the answer correct
the answer is 5286 i think hope this helps
Answer:
We can’t see the question
Step-by-step explanation:
we need a question to solve for the question
If the mass of the 5 coins is 25 grams, which measurement is closest to the total mass of the 2 pieces of candy?
Pleaseeeeeee helpppppppp
PLZ HELP FAST!!
Which is a condition needed to apply Cavalieri’s Principle to compare the volume of two solids? Select all that apply.
Both solids have a square base
Both solids are spherical
Both solids have the same height.
Both solids have the same base area.
Both solids have the same base shape.
Cavalieri's principle states that if two solids of equal height have equal cross-sectional areas at every level parallel to the respective bases, then the two solids have equal volume.
If you were to 'unroll' the cylinder you would find the side is actually ALWAYS a rectangle when flattened out?
Answer:
Yes
Step-by-step explanation:
It's harder to explain but think logically about it or get or get a piece of paper. Then roll it up in as many different ways that u can think of into a cylinder. If u unroll it then I I'll always be a rectangle
PLEASE HELP i will give brainliest
Yo guys help pls.pls pls
Answer:
A rectangle is a parallelogram because parallelograms have to have exactly 2 pairs of parallel sides. A rectangle has 2 parallel sides, therefore it is considered a parallelogram.
Step-by-step explanation:
What data does the x-axis show?
25 points ***!!
Answer:
time in weeks
Step-by-step explanation:
Please help fast!
Solve 2/3x-1/5>1
X>?
Answer:
x > 9/5
Step-by-step explanation:
2/3 x - 1/5 > 1
15 × 2/3x - 15 × 1/5 > 15 × 1
10x - 3 > 15
10x > 18
x > 18/10
x > 9/5
A completely full cylindrical storage tank of Ski with a diameter of 60 feet and a
height of 50 feet sprung a leak. You are able to catch the liquid in rectangular prisms
with the dimensions 5ft by 6ft by 10ft. How many rectangular prisms are needed?
Justify your answer by writing sentences and showing your work.
Answer:
471Step-by-step explanation:
Volume of liquid in the tank:
V = πr²h = πd²h/4V = 3.14*60²*50/4 = 141300 ft³Volume of each prism:
V = lwh V = 5*6*10 = 300 ft³Number of prisms needed:
141300/300 = 471Find the area of the rectangle on this centimetre grid.
Answer:
Step-by-step explanation:
I think this question is not clear.
If you could explain/upload the centimeter grid it'd be explain.
But generally, what you should do is: calculate the number of centimeters on the longer side (length (l)) and note that, now calculate the number of centimeters on the shorter side (breadth(b)).
Use the formula, Area of a rectangle = l×b to solve your math problem
What the volume of a cylinder with a diameter of 6mm and a height of 7 mm.it says it’s 700 something but the only answers on the test are as low as 100 and highest is 230? Help plz
8th grade math*
Answer: 197.82mm³
Step-by-step explanation:
Volume of a cylinder = πr²h
where,
π = 3.14
r = Diameter/2 = 6mm/2 = 3mm
h = 7mm
Volume = πr²h
= 3.14 × 3² × 7
= 3.14 × 9 × 7
= 197.82mm³
The volume of the cylinder is 197.82mm³
91 is 10% of what number?
would i get the answer of : 91 already rounded to the nearest hundredths??? these formulas are confusing me help (using proportions to solve percent)
9. Which activity would best result
in a scholarship award ?
The scores for all the sixth graders at Roberts School on a statewide test are normally distributed with the mean of 76 and a standard deviation of 10.
What percent of the scores were below 66?
What is the probability that a student earned a score between 66 and 86?
Answer:
a) 15.866%
b) 0.68268
Step-by-step explanation:
The scores for all the sixth graders at Roberts School on a statewide test are normally distributed with the mean of 76 and a standard deviation of 10.
We solve the above question using z score formula
= z = (x-μ)/σ, where
x is the raw score
μ is the population mean = 76
σ is the population standard deviation = 10
a) What percent of the scores were below 66?
x < 66
Hence,
z = 66 - 76/10
z = -1
Probability value from Z-Table:
P(x<66) = 0.15866
Converting to Percentage =
0.15866 × 100
= 15.866%
b) What is the probability that a student earned a score between 66 and 86?
For x = 66
Hence,
z = 66 - 76/10
z = -1
Probability value from Z-Table:
P(x≤ 66) = 0.15866
x = 66 = 0.15866
For x = 86
Hence,
z = 86 - 76/10
z = 1
Probability value from Z-Table:
P(x≤ 86) = 0.15866
x = 66 = 0.15866
Probability value from Z-Table:
P(x = 86) = 0.84134
The probability that a student earned a score between 66 and 86 is calculated as:
P(x = 86) - P(x = 76)
= 0.84134 - 0.15866
= 0.68268
In a highschool league, there were 256 touchdowns made last year. If 64 games were played, what is the mean, or the average, number of touchdowns made per game?
Answer:
4 per game
Step-by-step explanation:
Que valor en la ecuacion 3(x - 2) =7x+n tiene la solucion x=0
A. n = -6
B. n = -4
C. n = 3
D. n = 7
Answer: A. -6=n
Step-by-step explanation:
3(x - 2) =7x+n
3x-6=7x+n
-6=4x+n
-6=4(0)+n
-6=n
you have 11 art projects that weigh 24 pounds. If you give you mom 7 of your art projects, how much would her box weigh?
The weight for mom's boxes is obtained as 41.41 pounds.
What is weight?
Weight gauges how much gravity is pulling on a body.
The weight formula is provided by -
w = mg
Since weight is a force, it has the same SI unit as a force, which is the Newton (N).
Use a proportion to solve this problem.
Since the weight of the art projects is directly proportional to the number of art projects, we can set up the following proportion -
weight of 11 art projects / 11 = total weight / 24
Solving for the total weight -
total weight = (weight of 11 art projects / 11) x 24
total weight = 2.18 x 24
total weight = 52.32 pounds
So the total weight of the 11 art projects is 24 pounds, and if mom gets 7 of them, 4 art projects will be left weighing a total of -
weight of 4 art projects = (weight of 11 art projects - weight of 7 art projects)
weight of 4 art projects = (24 - (7/11) x 24)
weight of 4 art projects = 10.91 pounds
So, mom would be receiving 7 art projects weighing a total of -
weight of 7 art projects = (total weight - weight of 4 art projects)
weight of 7 art projects = (52.32 - 10.91)
weight of 7 art projects = 41.41 pounds
Therefore, mom's box would weigh 41.41 pounds.
To learn more about weight from the given link
https://brainly.com/question/86444
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please help! will give brainliest! review the graph of function f(x) for which values of c does lim f(x) not exist?
(graph and answer choices pictured)
Answer:
-2
Step-by-step explanation:
Help
Construct a problem that is written in exponent form then explain the steps to converting a problem from exponent to radical form.
Step-by-step explanation:
Radicals and fractional exponents are alternate ways of expressing the same thing. ... These examples help us model a relationship between radicals and rational ... Problem. Write as an expression with a rational exponent. The radical form can be ... Change the expression with the rational exponent back to radical form.
b Pete won the first heat in 13 minutes 39 seconds. Jacob won the second heat in 14 minutes 16 seconds. Who ran faster? By how much? t
In accordance with the research problem we were given, Pete outran Jacob by 37 seconds.
A second of angle is what?Minutes are the 60 equal pieces that make up each degree. Thus, 7 to 8 inches can also be written as seven degrees and thirty minutes, or seven°30'. For example, 2 ° 5 minutes and 30 seconds are represented by the notation 2° 5' 30 since each minutes is further subdivided into 60 equal seconds.
Then, we have Pete's time: First, we convert minutes into seconds. 13 minutes and 39 seconds is equal to 13 * 60 + 39, or 819 seconds.
Jacob's period: 14 minutes and 16 sec. = 14 * 60 + 16 sec. = 856 sec.
Jacob outpaced Pete by 856 – 819 = 37 seconds.
Pete ran 37 seconds faster as a result.
To know more about Seconds visit :
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A 16-inch diameter (8-inch radius) car tire is one of the most popular sizes for today's car Find the number of revolutions made by a tire with a radius of 8
inches that travels 5,280 feet (or 1 mile). Use 3.14 for Round your answer to the nearest tenth of a revolution.
Answer:
1261.1 revolutions
Step-by-step explanation:
Given
[tex]d = 16in[/tex] --- the diameter
[tex]Distance = 5280ft[/tex]
Required
The number of revolution completer
First, calculate the circumference (c) of the tire
[tex]c = \pi d[/tex]
[tex]c = 3.14 * 16[/tex]
[tex]c = 50.24[/tex]
Let the number of revolutions be n.
The product of n and the circumference equals to the total distance travelled.
So:
[tex]c * n = 5280 ft[/tex]
[tex]50.24in* n = 5280 ft[/tex]
Make n the subject
[tex]n = \frac{5280 ft}{50.24in}[/tex]
Convert feet to inch
[tex]n = \frac{5280 *12in}{50.24in}[/tex]
[tex]n = \frac{63360in}{50.24in}[/tex]
[tex]n = \frac{63360}{50.24}[/tex]
Solve for n
[tex]n = 1261.14649682[/tex]
Approximate
[tex]n = 1261.1[/tex]
If (2x^2-5x+7)-(4x^2+2x-11), what is the result?
Answer:
- 2x² - 7x + 18
Step-by-step explanation:
Given
(2x² - 5x + 7) - (4x² + 2x - 11) ← distribute parenthesis
= 2x² - 5x + 7 - 4x² - 2x + 11 ← collect like terms
= - 2x² - 7x + 18